Now explain why you believe that statement. Where in the US Constitution are police given authority beyond the citizen?
Never claimed the USCON said anything about local police powers. But if you think you can do everything that the police do, knock yourself out. Maybe you could pull someone over on your way to work... or maybe if some hit-and-run driver side-swipes your car and injures you leaving you unable to chase them down yourself with your private citizen lights and siren kit, you can tell the police not to bother going after them because the USCON doesn’t grant them the power to drive over the speed limit.